Weak Formulation of Finite Element Method for Nonlocal Beams Using Additional Boundary Conditions

Yayli M. Ö.

JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, cilt.8, sa.11, ss.2173-2180, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 11
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1166/jctn.2011.1940
  • Dergi Adı: JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2173-2180
  • Anahtar Kelimeler: Carbon Nanotube, Finite Element Method, Additional Boundary Conditions, CARBON NANOTUBES, ELASTICITY, VIBRATION, WAVES
  • Bursa Uludağ Üniversitesi Adresli: Hayır

Özet

The finite element method for the Euler-Bernoulli beam model is applied for the bending analyzes of micro/nanobeams with the additional boundary conditions. Non local stiffness matrix and force vector is calculated to solve beam bending problems. A qualitative discussion is given on this calculation process. The study contains two major parts, namely, finite element modeling of nonlocal beams with the additional boundary conditions and nonlocal theory based approach for predicting behavior of Carbon Nanotubes (CNTs). The nonlocal solutions are compared with their classical counterparts. The results illustrate that the deflection and bending moment of nonlocal beam depend on the small scale parameters and also on the boundary condition of the beam and the applied load.